Chapter IV. Space Syntax

Size: px
Start display at page:

Download "Chapter IV. Space Syntax"

Transcription

1 61 Chapter IV Space Syntax 1 INTRODUCTION Space Syntax is an important component of this dissertation because it deals with topologically derived configuration and has techniques that allow the environment to be considered as independent variables. Also, it was used in previous studies on wayfinding that produced encouraging results. Those studies form the precedent of this dissertation and are discussed at the end of this chapter. Space Syntax, or simply Syntax is a research program that was developed by a team led by Professor Bill Hillier in the unit of Architectural Studies in University College London (Hillier, 1996; Hillier, 1984). Since then, it has grown into an independent research area with an increasing international community. Primarily, Syntax is a method of investigating spatial complexes in an attempt to identify its particular structure that resides at the level of the entire configuration. The method is based upon the theory that the form-function relation in buildings and cities passes through the structural properties of its configuration (Hillier, 1998). Space Syntax is useful in describing and analyzing patterns of architectural space, at both the building and the urban level. Such descriptions of spatial configuration then serve as independent variables in various kinds of architectural research. Space Syntax is concerned with various spatial problems and some of the

2 62 questions that it seeks to address are: how can we measure the configurational properties of spatial systems? What is the role of configuration in movement, copresence and higher order social phenomena? (and) What is the nature of the relationship between social organization and spatial configuration? Any good theory of architecture should have descriptive and evaluative components and preferably be applicable for various purposes. Likewise, Space Syntax is based on a rigorous technique of describing the configuration that is based on topological relationships rather than on metric distances. In many cases, it has been used to inquire into social formations (Peponis 1985, Hanson and Hillier 1982 & 1987, Peatross & Peponis 1995, Hillier 1989 & 1995). However, consistent empirical studies have also been focussed on natural movement in urban areas (Hillier, Penn, Hanson, Grajewski and Xu 1993; Peponis, Ross & Rashid 1997), social settings of housing developments (Hillier, Burdett, Peponis & Penn 1987, Hillier, Hanson & Graham 1987), understanding urban crime and pollution (Hillier 1988), and the interaction patterns and productivity in various kinds of buildings (Choi, 1999; Penn, Desyllas & Vaughan 1999, Peponis & Heden 1982). Recently however, practicing architects have posed a different kind of question. In a discussion group, Tom Dine wrote, I wonder how Space syntax can be used as a way of describing the way spaces are experienced? What can Space Syntax tell us about what places 'seem like'? In this regard, Syntax theorists have tentatively argued that intelligible layout, a property discussed in Space Syntax literature, contributes to an intuitive understanding of configuration (Hillier, 1996, pp.40). They further suggest that the diachronic nature of architectural experience, as understood through an environmental unit also proposed by Space Syntax called axial lines, may be picked up by the peripatetic observer (Hillier, 1996, pp.215). A

3 63 measurable property of these lines, called integration, is a useful measure for studying this. Although they do not probe the more complex processes of the human mind, they do however, imply that this understanding is non-discursive i.e. it can be understood but not described (Hillier, 1996, pp. 38, Hillier 1998, pp. 39). In contrast, the pioneering work of Kevin Lynch demonstrated long ago that an understanding of the environment can be verbalized, especially if put in the context of travelling from one point to another (Lynch, 1960). Later research in environmental cognition has further shown that other techniques too may be used to study environmental understanding that includes cognition of configuration. This opens up the possibility of incorporating axial lines and other Space Syntax units in environmental cognition research. In fact, the comprehension of axial lines may not be non-discursive after all. In both the fields of Environmental Cognition and Environment and Behavior, the physical environment, specifically its spatial arrangement, has been considered an integral part of its focus. Nevertheless there there have not been sufficient tools to allow it to be considered as a predictor variable. Environmental cognition involves the interaction of human behavior both internal cognitive processes such as perception, memory and reasoning and more molar behaviors such as wayfinding and route choice with the real world that has specific form and content. However Environmental Cognition researchers have traditionally focused much more on behavior and memory recall, rather than on environmental form. Since the diachronic sequence of experiences builds up the cognitive map, a key argument that has developed in this research is that relational characteristics of environments are important in environmental understanding. This has been discussed in previous sections. In addition, Environment & Behavior (E&B) researchers have long noted the

4 64 importance of spatial configuration for predicting wayfinding, social interaction and other behaviors, but perhaps they too had few methodological and conceptual tools for incorporating spatial configuration into empirical research. For both of these research areas, the techniques of Space Syntax can be important. It allows rigorous analysis of buildings and settlements that is both theoretical and mathematical. Because the fundamental assumptions underlying Space Syntax are based on human sensibilities, it would appear that Syntax could be strongly linked with E&B and Environmental Cognition research. Unfortunately, it is not a tool that is widely used in these fields. On the other hand, very few Syntax researchers actually made cognitive claims. Among them Haq (1999a) has suggested the possibility of Space Syntax being a predictor of environmental cognition. Some researchers have begun to demonstrate that Syntax variables correlate with human spatial preferences (Peponis et al. 1990, Willham 1992 and Haq 1999a). Overwhelmingly research has confirmed that certain spaces as defined by Space Syntax can be expected to contain more human movement (Hillier 1987; Peponis, Hadjinikolaou, Livieratos and Fatouros 1989). Whether Syntax variables correspond to cognitive representations has yet to be explored. All in all, Space Syntax does seem to be a useful theory and methodology for understanding the role of environmental form from the point of view of topological relations in the study of environmental cognition and human wayfinding behavior. 2 ASSUMPTIONS AND TECHNIQUES OF SPACE SYNTAX Primarily Space Syntax is a theory about understanding architecture and urban areas from the point of view of their configuration. Two properties of

5 65 configuration are taken to be crucial. The first is that depending on one s position, a complex seems different. The second property is that small changes in any part of the spatial system will affect the structural properties of the whole (Hillier 1998). Configuration refers to the way in which spaces are related to one another, not only pair-wise but also with respect to the overall pattern that they constitute. In other words, configuration is about the overall pattern that emerges from pair-wise connections rather than elements or single connections taken by themselves (Peponis, Zimring and Choi, 1990). Configuration of spatial layouts is described in terms of the pattern of connections between defined units of spaces. It does not deal with metric distances, but with topological values. One importance of this theory lies in the fact that it gives an objective measure to each unit of space as it relates to others in a configurational system. One assumption of Syntax researchers, that is perhaps at odds with these psychologists, is that, while configuration or the way spaces are laid out, is important, it is also something non-discursive; people cannot explain it, but they all understand it (Hillier, 1996, 1998). For example, in the image shown in figure 4.1, it is argued that despite formation by different shaped elements, the unity of configuration in each case may be understood by everyone fairly equally. Hillier then extends the argument about non-discursivity of configuration to its intuitive nature. He says: Configuration seems to be what the human mind is good at intuitively, but bad at analytically. We easily recognize configuration without conscious thought, and just as easily use configuration in everyday life without thinking of them, and we do not know what it is we recognize and we are not conscious of what it is we use and how we use it. (Hillier, 1996, pp. 40).

6 66 This argument is then extended to space with the claim that since configuration is non-discursive but intuitively grasped, a sense of it may be attained by walking through spatial elements. This link to the understanding of configuration in real settings is perhaps not well substantiated by empirical work from the Space Syntax community. Understanding of configuration in reality is a diachronic experience. It is built up from a series of sequential experiences that are gained through movement. Since this research is partially based on Space Syntax with respect to human understanding and behavior, one aim shall be confirmation of the claim that people do indeed understand configuration by walking through layouts. If configuration is considered important, then it follows that even if shapes, sizes and other properties of constituent element spaces remain the same, configurational experience can be quite different. Conversely, configurational experience can be the same even when moving through various kinds of unit spaces. Of course, both unit spaces and their connections influence real experience. The theory of Space Syntax offers a method of quantifying the various levels of topological relationships within a layout. It also proposes a method of choosing Spatial units that are based on visual stability in a one and two dimension horizontal plane. These unit spaces will be discussed next as a prelude to the discussion of their topological relationships. 2.a Spatial Units So far, in this discussion, the terms space or unit space was used. Theoretically of course, any kind of space can be subject to Syntax analysis. However,

7 67 it is extremely important to look at Space Syntax spatial units, because it is on these that the entire body of the theory rests. Syntax theory proposes two conventional ways of breaking up a configuration into its constituent spaces: convex spaces and axial lines. Convex spaces are two-dimensional extensions and comprise of the fewest and fattest spaces that can cover the entire layout. They are those spaces within which all points are directly visible from all other points within the space (see figure 4.2). They are the largest units that can be fully perceived at one time within the layout; they can therefore be taken to represent the local constituents of it. Convex spaces are the most elementary units of analysis. Axial lines deal with linear extension and are represented by an axial map (see figure 4.3). This comprises the least number of straight lines that must be drawn in order to cover all the available connections from one convex space to the other. Axial lines represent the longest views across spaces whose full area may not be visible. In this way, the axial map captures the sense of connections that a person gets while moving about a building and so recalls the global constituents of a layout. 2.b Quantification Space Syntax theory quantifies the way in which an axial line is connected to another or to all the other lines. A connection between two axial lines is said to be shallow or deep when a few or many intervening lines have to be traversed when going from one to the other. A space is said to be integrated when all the other spaces of the building are relatively shallow from it. In other words, it is the function of the mean number of axial lines and connections that need to be taken from one

8 68 space to all other spaces in the system. Thus, from a space with a high integration value, fewer changes in direction are necessary in order to move from that space to all other spaces in the system. In this way, integration value measures the relative position of any space or axial line with respect to the overall building configuration. It should be pointed out that in the concept of integration the idea of depth and not metric distance is used to define a space in relation to all other spaces in the system. Hence it is both topological and global. The most important concept here is that of depth. In figure 4.4, the four layouts may look similar in plan, but their configurational relationships make each of them unique. This is a factor of how they are connected, both to adjacent ones and to all the other spaces. These are topological relations. A space may be said to be directly related to its adjacent one, or be separated by various degrees of depth, depending on how many intermediate spaces one needs to pass through, to go from one to another. Again, within one configuration, each unit space can have different values. The configuration seen in figure 4.3 may appear deep from the outside (shown with a x), but from P this would seem shallow. These are shown in graph form, called Justified Graphs, discussed later. So a spatial system can appear to be different depending on where one is located. Extending this kind of analysis, if every space was considered, then a mean depth value can be developed for every one of them. The space that will have the least depth is called the most integrated and the one that has the most depth is called the most segregated. In other words, integrated spaces are, on an average, closer to all other spaces in a system. On the other hand, a person in any segregated area will be distant, on an average, from all other spaces in the configuration.

9 69 The measure of integration, or its opposite, segregation, is expressed by Real Relative Asymmetry or RRA value. This value is obtained by the analysis of a graph representing the number of changes in direction between one axial line or space to all other lines or spaces. It is based on the number and depth of spaces that must be traversed from one space to all other spaces in the configuration. Mathematically, Integration is measured by the inverse of relative asymmetry (RA). This is given by the equation RA=2(MD-1) / (k-2), where MD is the mean depth and k is the number of spaces in the system. Since the number of spaces is a consideration for RA, it follows that size can have an effect on the level of RA values in real systems. So, to compare between different sized systems, the modified unit Real Relative Asymmetry (RRA) is used. This is comparison of RA values with those for a theoretical root or a diamond shaped pattern. It is given by the equation RRA = RA / Dk, where Dk is the D-value of the system with the same number of spaces as the real system. Therefore consideration of RRA values gives the opportunity to compare between environments (Hillier, 1984) 1. An intermediate topological unit called integration of depth 3 is also used sometimes. The calculation of this value is similar to calculating integration except that it counts all other connected spaces up to a depth of three only. Connectivity is another important Space Syntax measure. This refers to the number of other axial lines or spaces that are directly connected to any one line or 1 However, Teklenburg, Timmermans and van Wagenberg (1993) have argued that Integration is not dependent on system size. They have reported a different measure of integration that is independent of the number of included spaces.

10 70 space. Since this information is directly observable from a space, it is considered a local measure. A higher order of measure in Syntax is intelligibility. This value refers not to individual environmental units, but to the entire system configuration. A system s intelligibility is measured by the correlation between global and local variables, most commonly between global integration and local connectivity. This is expressed by Pearson s Product Moment Coefficient (r). Intelligibility values can be used to quickly compare between different environments. Intuitively it means that in a layout of high intelligibility, information about local connectivity allows a person moving through the system to comprehend the overall structure of the configuration (Hillier, Burdett, Peponis, & Penn, 1987). The stronger a correlation, the more global configuration of a space may be inferred from its directly observable local connections. Space Syntax theorists accept the fact that space layout is also produced by the organizational rules and practices. However, a central argument of this theory is that configuration by itself can be used as a predictor of space use. Thus they argue that configurational properties of a layout can create probabilities of encountering others. In previous studies, this has been found to be biased towards more integrated spaces, i.e. one is more likely to encounter people in more integrated spaces (Hillier et al., 1987; Peponis, Hadjinikolaou, Livieratos, & Fatouros, 1989). However it is not clearly known if this has a cognitive component. If it does, i.e. if users can intuitively or directly recognize integration, then we can expect to find more wayfinding people in more integrated areas. This is one component of this study.

11 71 3 JUSTIFIED MAPS AND MEAN DEPTHS Integration value of any space is derived from consideration of its depth from all points within the configurational system. Sometimes it is meaningful to look at particular points to determine how it relates to the rest. For this research purpose, the entry points of the settings were considered important. The analysis tool used is called justified map or the justified permeability map (Hillier & Hanson 1984). Here, the entry space is put at the base of a graph. Then all spaces that are directly accessible from it i.e. of depth 1, are arranged horizontally above it, all spaces of depth 2 arranged horizontally above the first and so on until all the spaces in the system is accounted for. All the connecting lines are then drawn in to show their relationships to each another. By definition, lines can only connect within a layer or one layer adjacent to it. In figure 4.4 the justified permeability maps of corresponding layouts from their entrances are shown. These give a visual representation of depth from a space, i.e. how shallow or deep it is in connection to all the other spaces in the system. Depth can also be mathematically expressed. This is denoted by mean depth and is calculated by assigning a depth value to each space according to how many spaces it is away from the original space, summing those values and dividing by the number of spaces in the system less one (the original space) (Hillier and Hanson, 1984, pp. 108). The mean depth in figure 4.5 is shown as 2.00 and 3.75 respectively from P and from the outside, which is marked with an X.

12 72 4 SYNTAX TOOLS The different Syntax values of axial lines can be measured by a computer program called Spatialist or AxmanPPC. Assigned values can be displayed both as a table and as a color-coded axial map. In this map the lines are displayed in a range from deep blue to deep red; blue signifying segregation and red signifying integration. Thus an objective measurement can be given to each unit of space within a layout. Consideration of the top 5% of the integrated areas gives the integration core. Also, the average integration value can be used to compare between different configurations. Unfortunately, tools for measuring syntactic values for unit spaces (corridor intersections, for example) were not available from the Syntax group. Therefore, these were computed separately using a commercial computer program. Of course, this did not produce a visual output; that had to be manually created (see figures 6.26, 6.27 and 6.28). 5 PREVIOUS USE OF SPACE SYNTAX IN WAYFINDING AND COGNITION RESEARCH A rigorous attempt to examine the relationship between objective measures of the components of physical environment as determined by Syntax analysis and observational measures of wayfinding performance was undertaken by Peponis, Zimring, & Choi (1990). This study is important because of a number of aspects. First, in the cognitive realm, the authors presented a theoretical distinction and a relationship between specific wayfinding tasks and an overall understanding of the environment that was termed as general intelligibility. Second, in the aspect of

13 73 methodology, they introduced the twin ideas of open exploration and directed search and developed the methods of quantifying them. The authors started with the hypothesis that navigation through any complex architectural environment cannot depend wholly upon direct visual perception... but requires a more abstract understanding of the way in which local parts are interrelated into a whole pattern (Peponis et al., 1990, pp. 559). To deal with this issue, they took configuration as one measure of the physical environment. In contrast to its meaning as survey knowledge, configuration was considered as a spatial concept whose description and quantification was given by the theory of Space Syntax. Therefore they dealt with topological relationships. The authors considered paths and nodes as the spatial units. Paths were the axial lines as defined by Space Syntax and nodes were essentially the decision points in a path and were operationalized as the intersections of two syntax axial lines. Wayfinding behavior was quantified by tracking 15 students doing two tasks: exploring the experimental setting that was a hospital building (open exploration) and doing specific wayfinding tasks within it (directed search). These tasks were quantified by search patterns and routes. Open exploration behavior was measured by the number of visits each unit of space received by the research subjects. Directed search was measured by Redundant Node Use. This was use of those nodes that was not necessary i.e. not in the shortest route between the origin and the destination. In all the scenarios considered by the researchers, use of a space was consistently found to be highly correlated with its integration value. In open exploration, correlation of line use and integration value from the public corridor system was.76, and it was.62 when integration value was considered from all the rooms in the floor. Value of the nodes derived from the public system correlated with use at.78 and it

14 74 was.61 when the values were determined from the entire floor. In directed search, the correlation between redundant node use and integration values from the public system was.75 and it was.65 when the whole floor was taken into account. This study concluded that some users were biased towards some spaces more than towards others, in proportion to their degree of integration and when in doubt, go to an integrated space (Peponis et al., 1990, pp. 570 & 573). This led the authors to suggest that an abstract set of global relationships within the environment may influence the cognitive terms of reference of the wayfinder. Later, for his Masters thesis, Willham (1992) took up the study of Peponis et al. (1990) and sought to supplement it by being more critical in his description of spaces. He re-analyzed the original data to investigate if any other measures influenced the wayfinding process and also duplicated the experiment using the same building and the same methodology, but having 12 older people as the subjects. He focused specifically on nodes i.e. the intersections of the corridors. These were described from 3 realms of configurational scale: local, relational and global. The local realm consisted of the immediate visual field, the global realm included the entire layout and the relational realm was one that he hypothesized as mediating between local and global realms. His local descriptors were local node space, degree and landmarks (art, doors, objects, signs, volume and windows) and relational descriptors were relational node space and decision point degree (DP degree). The global descriptors were derived from Space Syntax methodology and were given by integration values. Willham s research results were similar to the previous study and he advanced it with the conclusion that as new comers people rely on the local measure degree for wayfinding, but as learning occurs relational and global measures become more important.

15 75 A similar procedure was taken up by Haq (1999a, 1999b) in his study of wayfinding in a large urban hospital. He too found a good relationship between wayfinding use of axial lines and nodes and their Syntax integration values. The use of Space Syntax in these studies allowed the authors not only to quantify each unit of the environment, but also to do so from purely topological considerations. Willham s categorization of three levels of environmental measure is also useful. Their findings of significant correlations between objective properties of the environment and willful behavior of the research subjects suggest a cognitive aspect. This was expanded by Haq (1999a), who found that with increasing environmental experience people rely more on global properties and less on local ones. Since wayfinding was described as an activity that is mediated by cognition, Haq interpreted his findings as an indication that Integration does have a cognitive component. This thesis aims to explore such a proposition.

16 76 Figure 4.1 Configuration is independent of constituent units. Figure 4.2 Convex Spaces. All points are visible from all other points in each space.

17 77 Figure 4.3 Deconstruction of a layout into convex spaces and axial lines

18 78 Figure 4.2 Depth can vary even if the shapes do not. Figure 4.3 Mean depth is different from different spaces in a configuration. Figure 4.4 Depth can vary even if shapes do not. X Figure 4.5 Mean depth is different from different spaces in a configuration.

Spatial Layout and the Promotion of Innovation in Organizations

Spatial Layout and the Promotion of Innovation in Organizations Spatial Layout and the Promotion of Innovation in Organizations Jean Wineman, Felichism Kabo, Jason Owen-Smith, Gerald Davis University of Michigan, Ann Arbor, Michigan ABSTRACT: Research on the enabling

More information

ARCHITECTURAL SPACE AS A NETWORK

ARCHITECTURAL SPACE AS A NETWORK ARCHITECTURAL SPACE AS A NETWORK PHYSICAL AND VIRTUAL COMMUNITIES Dr Kerstin Sailer Bartlett School of Graduate Studies, University College London Lorentz Workshop Innovation at the Verge Computational

More information

MORPHOLOGICAL STUDY OF A SMALL TOWN BARKUR IN COASTAL KARNATAKA, INDIA 2 METHODOLOGY

MORPHOLOGICAL STUDY OF A SMALL TOWN BARKUR IN COASTAL KARNATAKA, INDIA 2 METHODOLOGY 2 METHODOLOGY The understanding of form as a process with underlying structure, distinguishing it from the physical characteristics of town form itself by which the potentials of the town structure are

More information

Spatial Configuration and Social Life for People Experiencing Dementia

Spatial Configuration and Social Life for People Experiencing Dementia Spatial Configuration and Social Life for People Experiencing Dementia Keith Diaz Moore, Farhana Ferdous University of Kansas, Lawrence, KS ABSTRACT: In this paper, we will focus on the important, facilitating

More information

Ref 009 Visibility and Permeability Complementary Syntactical Attributes of Wayfinding

Ref 009 Visibility and Permeability Complementary Syntactical Attributes of Wayfinding Short Paper Ref 009 Visibility and Permeability Complementary Syntactical Attributes of Wayfinding Mateus Paulo Beck Ufrgs, Propar, Porto Alegre, Brazil mateuspbeck@gmail.com Benamy Turkienicz Ufrgs, Propar,

More information

LINKING THE SPATIAL SYNTAX OF COGNITIVE MAPS TO THE SPATIAL SYNTAX OF THE ENVIRONMENT

LINKING THE SPATIAL SYNTAX OF COGNITIVE MAPS TO THE SPATIAL SYNTAX OF THE ENVIRONMENT 10.1177/0013916503261384ARTICLE ENVIRONMENT Kim, Penn / SPATIAL AND SYNTAX BEHAVIOR / July 2004 LINKING THE SPATIAL SYNTAX OF COGNITIVE MAPS TO THE SPATIAL SYNTAX OF THE ENVIRONMENT YOUNG OOK KIM is an

More information

Wayfinding in traditional Chinese private gardens: a spatial analysis of the Yuyuan garden

Wayfinding in traditional Chinese private gardens: a spatial analysis of the Yuyuan garden R.H. Crawford and A. Stephan (eds.), Living and Learning: Research for a Better Built Environment: 49 th International Conference of the Architectural Science Association 2015, pp.931 939. 2015, The Architectural

More information

Space Syntax: Spatial Integration Accessibility and Angular Segment Analysis by Metric Distance (ASAMeD)

Space Syntax: Spatial Integration Accessibility and Angular Segment Analysis by Metric Distance (ASAMeD) Space Syntax: Spatial Integration Accessibility and Angular Segment Analysis by Metric Distance (ASAMeD) Nadia Charalambous, Magda Mavridou To cite this report: Nadia Charalambous, Magda Mavridou (2012)

More information

ON SPACE SYNTAX AS A CONFIGURATIONAL THEORY OF ARCHITECTURE FROM A SITUATED OBSERVER S VIEWPOINT

ON SPACE SYNTAX AS A CONFIGURATIONAL THEORY OF ARCHITECTURE FROM A SITUATED OBSERVER S VIEWPOINT Environment and Planning B: Planning and Design, In Press ON SPACE SYNTAX AS A CONFIGURATIONAL THEORY OF ARCHITECTURE FROM A SITUATED OBSERVER S VIEWPOINT Mahbub Rashid, PhD, RA Professor of Architecture,

More information

Multi-Criteria Spatial Analysis of Building Layouts

Multi-Criteria Spatial Analysis of Building Layouts Issues in Informing Science and Information Technology Volume 4, 2007 Multi-Criteria Spatial Analysis of Building Layouts Hissam Tawfik and Atulya Nagar, Intelligent and Distributed Systems Research Laboratory,

More information

Place Syntax Tool (PST)

Place Syntax Tool (PST) Place Syntax Tool (PST) Alexander Ståhle To cite this report: Alexander Ståhle (2012) Place Syntax Tool (PST), in Angela Hull, Cecília Silva and Luca Bertolini (Eds.) Accessibility Instruments for Planning

More information

#127 JUST FOLLOW YOUR FINGERS. Conveying spatial information through tactile maps

#127 JUST FOLLOW YOUR FINGERS. Conveying spatial information through tactile maps #127 Conveying spatial information through tactile maps MATEUS PAULO BECK Federal Justice of Rio Grande do Sul, Brazil mateuspbeck@gmail.com ABSTRACT This paper addresses tactile maps as an aid for wayfinding

More information

Space Syntax A Tool For Understanding Spatial Organization and its Change Over Time. Dr Abir Bandyopadhyay National Institute of Technology, Raipur

Space Syntax A Tool For Understanding Spatial Organization and its Change Over Time. Dr Abir Bandyopadhyay National Institute of Technology, Raipur Space Syntax A Tool For Understanding Spatial Organization and its Change Over Time Dr Abir Bandyopadhyay National Institute of Technology, Raipur In the 15 th Century, many European communities came to

More information

Space syntax analysis methodology of understanding the space

Space syntax analysis methodology of understanding the space Space syntax analysis methodology of understanding the space Weronika DETTLAFF Keywords: Space Syntax; way finding; spatial configuration; individual; spatial decision making Abstract: Nowadays space is

More information

URBAN CONFIGURATIONAL COMPLEXITY

URBAN CONFIGURATIONAL COMPLEXITY P ROCEEDINGS VOLUME I COMPARATIVE CITIES URBAN CONFIGURATIONAL COMPLEXITY Definition and Measurement 05 Romûlo Krafta Federal University of Rio Grande do Sul, Porto Alegre, Brazil 0 Abstract Among the

More information

Tourist navigation through historical sites: the spatial analysis approach

Tourist navigation through historical sites: the spatial analysis approach Sustainable Tourism III 53 Tourist navigation through historical sites: the spatial analysis approach N. I. Mohareb 1, A. G. ElAdawi 2 & H. M. Ayad 2 1 Department of Architectural Engineering, UAE University,

More information

Environmental Cognition and Perception I

Environmental Cognition and Perception I Environmental Cognition and Perception I Review: Spatial Interaction and Spatial Behavior II - Individual travel behavior - Activity space - Mental maps How we perceive the environment Maps in the head

More information

Colleges of Cambridge: The Spatial Interaction between the Town and the Gown. Dima Srouri University College London, UK

Colleges of Cambridge: The Spatial Interaction between the Town and the Gown. Dima Srouri University College London, UK Colleges of Cambridge: The Spatial Interaction between the Town and the Gown Dima Srouri University College London, UK srourid@hotmail.com Abstract This paper investigates the notion of campus community

More information

The population within the AMC limits was 4.5 million in 2001 (Census of India 2001). The Sabarmati River divides the city in two parts. The city s tra

The population within the AMC limits was 4.5 million in 2001 (Census of India 2001). The Sabarmati River divides the city in two parts. The city s tra EXPLORING THE RELATIONSHIP BETWEEN URBAN ROADS, URBAN FORM AND ECONOMIC ACTIVITY IN AHMEDABAD USING SPACE SYNTAX Arindam Majumdar 1, Richard Sliuzas 2, Talat Munshi 1, Mark Brussel 2 1 Center for Environmental

More information

Mappings For Cognitive Semantic Interoperability

Mappings For Cognitive Semantic Interoperability Mappings For Cognitive Semantic Interoperability Martin Raubal Institute for Geoinformatics University of Münster, Germany raubal@uni-muenster.de SUMMARY Semantic interoperability for geographic information

More information

How Spatial Layout and Architecture Influence Everyday Work of Theoretical Physicists The Example of the mpipks

How Spatial Layout and Architecture Influence Everyday Work of Theoretical Physicists The Example of the mpipks How Spatial Layout and Architecture Influence Everyday Work of Theoretical Physicists The Example of the mpipks Dipl.-Ing. Kerstin Sailer Lehrstuhl Industriebau, TU Dresden Young Scientists Jam Session,

More information

Space Syntax: Architecture and Cities MRes This programme information sheet includes details of the structure and content of the course.

Space Syntax: Architecture and Cities MRes This programme information sheet includes details of the structure and content of the course. Space Syntax: Architecture and Cities MRes 2018-19 This programme information sheet includes details of the structure and content of the course. CONTENTS Overview 3 Structure 4 Content 5 Staff 6 Opportunities

More information

THE STRUCTURE OF PUBLIC SPACEIN SPARSELY URBAN AREAS

THE STRUCTURE OF PUBLIC SPACEIN SPARSELY URBAN AREAS O L U M E I I P R O C E E D I N G S VO O L U M E THE STRUCTURE OF PUBLIC SPACEIN SPARSELY URBAN AREAS Vaso Trova, Eleni Hadjinikolaou, Solon Xenopoulos, John Peponis School of Architecture, National Technical

More information

2. Light carries information. Scientists use light to learn about the Universe.

2. Light carries information. Scientists use light to learn about the Universe. 1. Our sun is a star and the stars are suns. Even the nearest star lies enormously far beyond our own solar system. Stars are orbited by planets, which may be very different worlds from ours. The universe

More information

The Role of Spatial Configuration in Spatial Cognition

The Role of Spatial Configuration in Spatial Cognition The Role of Spatial Configuration in Spatial Cognition 49 Young Ook Kim University of Sejong, Korea 0 Abstract This paper investigates the role of spatial configuration in shaping residents spatial cognition

More information

The role of visual clues and pathway configuration in legibility of cities.

The role of visual clues and pathway configuration in legibility of cities. Legible cities: The role of visual clues and pathway configuration in legibility of cities. 71 Mahshid Shokouhi University of Art, Iran Abstract To make a city more legible there should be continuity between

More information

A Computable Language of Architecture

A Computable Language of Architecture A Computable Language of Architecture Description of Descriptor Language in Supporting Compound Definitions Introduction Sora Key Carnegie Mellon University, Computational Design Laboratory, USA http://www.code.arc.cmu.edu

More information

Public spaces revisted: a study of the relationship between patterns of stationary activity and visual fields

Public spaces revisted: a study of the relationship between patterns of stationary activity and visual fields Public spaces revisted: a study of the relationship between patterns of stationary activity and visual fields Abstract Maria Beatriz de Arruda Campos and Theresa Golka Space Syntax Limited, UK b.campos@spacesyntax.com,

More information

A Cognitive Map for an Artificial Agent

A Cognitive Map for an Artificial Agent A Cognitive Map for an Artificial Agent Unmesh Kurup Rensselaer Polytechnic Institute Carnegie 013, 110 8 th Street Troy, NY 12180 kurupu@rpi.edu B. Chandrasekaran The Ohio State University 591 Dreese,

More information

Application of Space Syntax as Presentation and Analysis Technique in the Study of Spatial Integration in Contoured Landform

Application of Space Syntax as Presentation and Analysis Technique in the Study of Spatial Integration in Contoured Landform 2012, TextRoad Publication ISSN 2090-4304 Journal of Basic and Applied Scientific Research www.textroad.com Application of Space Syntax as Presentation and Analysis Technique in the Study of Spatial Integration

More information

MATHEMATICS GRADE 7. THE EWING PUBLIC SCHOOLS 2099 Pennington Road Ewing, NJ 08618

MATHEMATICS GRADE 7. THE EWING PUBLIC SCHOOLS 2099 Pennington Road Ewing, NJ 08618 MATHEMATICS GRADE 7 THE EWING PUBLIC SCHOOLS 2099 Pennington Road Ewing, NJ 08618 Board Approval Date: August 29, 2016 Michael Nitti Revised by: District Math Staff Superintendent In accordance with The

More information

Course: Physics 1 Course Code:

Course: Physics 1 Course Code: Course: Physics 1 Course Code: 2003380 SEMESTER I QUARTER 1 UNIT 1 Topic of Study: Scientific Thought and Process Standards: N1 Scientific Practices N2 Scientific Knowledge Key Learning: ~Scientists construct

More information

Housing visual quality in urban pattern; Application of isovist method in old fabric of Bushehr city

Housing visual quality in urban pattern; Application of isovist method in old fabric of Bushehr city International Journal of Architectural Engineering & Urban Planning Housing visual quality in urban pattern; Application of isovist method in old fabric of Bushehr city M. Alalhesabi 1,*, S. B. Hosseini

More information

Urban Geography. Unit 7 - Settlement and Urbanization

Urban Geography. Unit 7 - Settlement and Urbanization Urban Geography Unit 7 - Settlement and Urbanization Unit 7 is a logical extension of the population theme. In their analysis of the distribution of people on the earth s surface, students became aware

More information

Analysis of a high sub-centrality of peripheral areas at the global urban context

Analysis of a high sub-centrality of peripheral areas at the global urban context Analysis of a high sub-centrality of peripheral areas at the global urban context Adriana Dantas Nogueira Universidade Federal de Sergipe, Brazil adriananogueira02@hotmail.com Abstract This paper presents

More information

This version was downloaded from Northumbria Research Link:

This version was downloaded from Northumbria Research Link: Citation: Dalton, Ruth and Dalton, Nick (2007) Applying Depth Decay Functions to Space Syntax Network Graphs. In: Sixth International Space Syntax Symposium, 12 June - 15 June 2007, Istanbul. URL: This

More information

A study of Spatial Analysis using Space Syntax. Table of Contents

A study of Spatial Analysis using Space Syntax. Table of Contents A study of Spatial Analysis using Space Syntax Oh, ChungWeon *, Hwang, Chulsue ** Table of Contents I. Introduction... 2 II. Spatial Structure... 2 1. Urban spatial structure... 2 2. New town development...

More information

Psycho-pleasurability of Maps for Wayfinding

Psycho-pleasurability of Maps for Wayfinding Psycho-pleasurability of Maps for Wayfinding Chun-wen CHEN*, Manlai YOU**, Shang-chia CHIOU*** Graduate School of esign National Yunlin University of Science and Technology, Taiwan *g9030805@yuntech.edu.tw,

More information

Introduction to Semantics. The Formalization of Meaning 1

Introduction to Semantics. The Formalization of Meaning 1 The Formalization of Meaning 1 1. Obtaining a System That Derives Truth Conditions (1) The Goal of Our Enterprise To develop a system that, for every sentence S of English, derives the truth-conditions

More information

SPATIAL DESIGN ANALYSIS WITHIN AN ATRIUM

SPATIAL DESIGN ANALYSIS WITHIN AN ATRIUM M. A. Schnabel (ed.), Cutting Edge: 47 th International Conference of the Architectural Science Association, pp. 517 524. 2013, The Architectural Science Association (ANZAScA), Australia SPATIAL DESIGN

More information

behavioral sciences ISSN X

behavioral sciences ISSN X Behav. Sci. 2014, 4, 167 180; doi:10.3390/bs4030167 Article OPEN ACCESS behavioral sciences ISSN 2076-328X www.mdpi.com/journal/behavsci Seeing the Axial Line: Evidence from Wayfinding Experiments Beatrix

More information

Welcome to GST 101: Introduction to Geospatial Technology. This course will introduce you to Geographic Information Systems (GIS), cartography,

Welcome to GST 101: Introduction to Geospatial Technology. This course will introduce you to Geographic Information Systems (GIS), cartography, Welcome to GST 101: Introduction to Geospatial Technology. This course will introduce you to Geographic Information Systems (GIS), cartography, remote sensing, and spatial analysis through a series of

More information

Smarter Balanced Assessment Consortium Claims, Targets, and Standard Alignment for Math Interim Assessment Blocks

Smarter Balanced Assessment Consortium Claims, Targets, and Standard Alignment for Math Interim Assessment Blocks Smarter Balanced Assessment Consortium Claims, Targets, and Standard Alignment for Math Interim Assessment Blocks The Smarter Balanced Assessment Consortium (SBAC) has created a hierarchy comprised of

More information

Specified Issue. Pic3. Spring 2015

Specified Issue. Pic3. Spring 2015 Pic3 12 Pic1 11 Pic6 Pic2 10 Pic5 performance since structured streets and important buildings surround it. According to the distance index, the tissue is not too dense, while high-rise buildings are observed.

More information

How cubey is your prism? the No Child Left Behind law has called for teachers to be highly qualified to teach their subjects.

How cubey is your prism? the No Child Left Behind law has called for teachers to be highly qualified to teach their subjects. How cubey is your prism? Recent efforts at improving the quality of mathematics teaching and learning in the United States have focused on (among other things) teacher content knowledge. As an example,

More information

Relationship between Spatial Configuration and Ferry, Bus and Railway Patronage in Brisbane CBD

Relationship between Spatial Configuration and Ferry, Bus and Railway Patronage in Brisbane CBD Relationship between Spatial Configuration and Ferry, Bus and Railway Patronage in Brisbane CBD Sima Vaez 1, Matthew Burke 2,Tooran Alizadeh 3 Email for correspondence: sima.vaezeslami@griffithuni.edu.au

More information

arxiv: v1 [physics.soc-ph] 27 Sep 2007

arxiv: v1 [physics.soc-ph] 27 Sep 2007 arxiv:0709.4415v1 [physics.soc-ph] 27 Sep 2007 Discovering Important Nodes Through Graph Entropy Encoded in Urban Space Syntax D. Volchenkov and Ph. Blanchard BiBoS, University Bielefeld, Postfach 100131,

More information

Neighborhood Locations and Amenities

Neighborhood Locations and Amenities University of Maryland School of Architecture, Planning and Preservation Fall, 2014 Neighborhood Locations and Amenities Authors: Cole Greene Jacob Johnson Maha Tariq Under the Supervision of: Dr. Chao

More information

Using Probability to do Statistics.

Using Probability to do Statistics. Al Nosedal. University of Toronto. November 5, 2015 Milk and honey and hemoglobin Animal experiments suggested that honey in a diet might raise hemoglobin level. A researcher designed a study involving

More information

Investigation and Analysis of Urban Spatial Structure around the Train Stations in Kitakyushu by Using Space Syntax and GIS

Investigation and Analysis of Urban Spatial Structure around the Train Stations in Kitakyushu by Using Space Syntax and GIS Open Journal of Civil Engineering, 2015, 5, 97-108 Published Online March 2015 in SciRes. http://www.scirp.org/journal/ojce http://dx.doi.org/10.4236/ojce.2015.51010 Investigation and Analysis of Urban

More information

Spatial Configuration and Actual Crime Locations in a University Campus Setting

Spatial Configuration and Actual Crime Locations in a University Campus Setting Spatial Configuration and Actual Crime Locations in a University Campus Setting Yixiang Long and Perver K. Baran College of Design, NC State University Paper presented at EDRA37, Atlanta, 3-7 May, 2006

More information

Sign of derivative test: when does a function decreases or increases:

Sign of derivative test: when does a function decreases or increases: Sign of derivative test: when does a function decreases or increases: If for all then is increasing on. If for all then is decreasing on. If then the function is not increasing or decreasing at. We defined

More information

Lesson 12. Student Outcomes. Classwork. Opening Exercise (4 minutes) Discussion (4 minutes)

Lesson 12. Student Outcomes. Classwork. Opening Exercise (4 minutes) Discussion (4 minutes) Student Outcomes Students are introduced to the formal process of solving an equation: starting from the assumption that the original equation has a solution. Students explain each step as following from

More information

An Integration of Space Syntax into GIS for Modelling Urban Spaces

An Integration of Space Syntax into GIS for Modelling Urban Spaces An Integration of Space Syntax into GIS for Modelling Urban Spaces B. Jiang 1, C. Claramunt 2 and B. Klarqvist 3 1 Division of Geomatics Institutionen för Teknik, University of Gävle SE-801 76 Gävle, Sweden

More information

t-test for b Copyright 2000 Tom Malloy. All rights reserved. Regression

t-test for b Copyright 2000 Tom Malloy. All rights reserved. Regression t-test for b Copyright 2000 Tom Malloy. All rights reserved. Regression Recall, back some time ago, we used a descriptive statistic which allowed us to draw the best fit line through a scatter plot. We

More information

Max Planck, Nobel Prize in Physics and inventor of Quantum Mechanics said:

Max Planck, Nobel Prize in Physics and inventor of Quantum Mechanics said: Max Planck, Nobel Prize in Physics and inventor of Quantum Mechanics said: As a man who has devoted his whole life to the most clear-headed science, to the study of matter, I can tell you as a result of

More information

Some Thoughts on Computation and Simulation in Cognitive Science

Some Thoughts on Computation and Simulation in Cognitive Science Some Thoughts on Computation and Simulation in Cognitive Science Markus Peschl ( * ) and Matthias Scheutz ( ** ) ( * ) Department of Philosophy of Science and Social Studies of Science University of Vienna

More information

The rectangular spiral or the n 1 n 2 n k Points Problem

The rectangular spiral or the n 1 n 2 n k Points Problem Notes on Number Theory and Discrete Mathematics ISSN 1310 513 Vol. 0, 014, No. 1, 59 71 The rectangular spiral or the n 1 n n k Points Problem Marco Ripà Economics Institutions and Finance, Roma Tre University

More information

Chapter 1 Introduction

Chapter 1 Introduction 1 Chapter 1 Introduction Figure 1.1: Westlake Plaza A warm sunny day on a downtown street and plaza, pedestrians pass on the sidewalks, people sit on benches and steps, enjoying a cup of coffee, shoppers

More information

Variation of geospatial thinking in answering geography questions based on topographic maps

Variation of geospatial thinking in answering geography questions based on topographic maps Variation of geospatial thinking in answering geography questions based on topographic maps Yoshiki Wakabayashi*, Yuri Matsui** * Tokyo Metropolitan University ** Itabashi-ku, Tokyo Abstract. This study

More information

REASONING PROCESSES UNDERLYING THE EXPLANATION OF THE PHASES OF THE MOON.

REASONING PROCESSES UNDERLYING THE EXPLANATION OF THE PHASES OF THE MOON. REASONING PROCESSES UNDERLYING THE EXPLANATION OF THE PHASES OF THE MOON. Shamin Padalkar and K. Subramaniam Homi Bhabha Centre for Science Education (TIFR) Mumbai OBJECTIVES AND SIGNIFICANCE OF THE STUDY

More information

What's Up, Earth? Header Insert Image 1 here, right justified to wrap. Grade Level. 3rd. Time Required: 60 minutes

What's Up, Earth? Header Insert Image 1 here, right justified to wrap. Grade Level. 3rd. Time Required: 60 minutes What's Up, Earth? Header Insert Image 1 here, right justified to wrap Image 1 ADA Description:? Caption:? Image file path:? Source/Rights: Copyright? Grade Level 3rd Time Required: 60 minutes Group Size:

More information

DIS-ORIENTATION, SPATIAL ABILITIES PERFORMANCE IN CENTRAL LONDON

DIS-ORIENTATION, SPATIAL ABILITIES PERFORMANCE IN CENTRAL LONDON DIS-ORIENTATION, SPATIAL ABILITIES PERFORMANCE IN CENTRAL LONDON 046 Christian Beros-Contreras Space Syntax Ltd. Keywords: Orientation Navigation Space syntax Wayfinding Spatial cognition Christian Beros-Contreras

More information

M. Saraiva* 1 and J. Barros 1. * Keywords: Agent-Based Models, Urban Flows, Accessibility, Centrality.

M. Saraiva* 1 and J. Barros 1. *  Keywords: Agent-Based Models, Urban Flows, Accessibility, Centrality. The AXS Model: an agent-based simulation model for urban flows M. Saraiva* 1 and J. Barros 1 1 Department of Geography, Birkbeck, University of London, 32 Tavistock Square, London, WC1H 9EZ *Email: m.saraiva@mail.bbk.ac.uk

More information

2. FUNCTIONS AND ALGEBRA

2. FUNCTIONS AND ALGEBRA 2. FUNCTIONS AND ALGEBRA You might think of this chapter as an icebreaker. Functions are the primary participants in the game of calculus, so before we play the game we ought to get to know a few functions.

More information

Changes in properties and states of matter provide evidence of the atomic theory of matter

Changes in properties and states of matter provide evidence of the atomic theory of matter Science 7: Matter and Energy (1) Changes in properties and states of matter provide evidence of the atomic theory of matter Objects, and the materials they are made of, have properties that can be used

More information

1 Modular Arithmetic Grade Level/Prerequisites: Time: Materials: Preparation: Objectives: Navajo Nation Math Circle Connection

1 Modular Arithmetic Grade Level/Prerequisites: Time: Materials: Preparation: Objectives: Navajo Nation Math Circle Connection 1 Modular Arithmetic Students will explore a type of arithmetic that results from arranging numbers in circles instead of on a number line. Students make and prove conjectures about patterns relating to

More information

Relative and Absolute Directions

Relative and Absolute Directions Relative and Absolute Directions Purpose Learning about latitude and longitude Developing math skills Overview Students begin by asking the simple question: Where Am I? Then they learn about the magnetic

More information

SOCIAL SCIENCES. WORLD GEOGRAPHY LH Grade(s): 9 Pre-Req: N/A

SOCIAL SCIENCES. WORLD GEOGRAPHY LH Grade(s): 9 Pre-Req: N/A SOCIAL SCIENCES WORLD GEOGRAPHY 21033000 Grade(s): 9 The World Cultural Geography course consists of the following content area strands: American History, World History, Geography, Humanities, Civics and

More information

Lesson 12: Solving Equations

Lesson 12: Solving Equations Student Outcomes Students are introduced to the formal process of solving an equation: starting from the assumption that the original equation has a solution. Students explain each step as following from

More information

Dr. Wen-Chieh (Jeffrey) Wang Assistant Professor Department of Landscape and Urban Design Chaoyang University of Technology Taiwan, R.O.C.

Dr. Wen-Chieh (Jeffrey) Wang Assistant Professor Department of Landscape and Urban Design Chaoyang University of Technology Taiwan, R.O.C. Dr. Wen-Chieh (Jeffrey) Wang Assistant Professor Department of Landscape and Urban Design Chaoyang University of Technology Taiwan, R.O.C. This paper presents a generalization algorithm focusing specifically

More information

Structure learning in human causal induction

Structure learning in human causal induction Structure learning in human causal induction Joshua B. Tenenbaum & Thomas L. Griffiths Department of Psychology Stanford University, Stanford, CA 94305 jbt,gruffydd @psych.stanford.edu Abstract We use

More information

Spatial-Functional Analysis of Kurdish Courtyard Houses in Erbil City

Spatial-Functional Analysis of Kurdish Courtyard Houses in Erbil City American J. of Engineering and Applied Sciences 3 (3): 560-568, 2010 ISSN 1941-7020 2010 Science Publications Spatial-Functional Analysis of Kurdish Courtyard Houses in Erbil City 1 Faris Ali Mustafa and

More information

Could A Road-centre Line Be An Axial Line In Disguise? Alasdair Turner University College London, UK

Could A Road-centre Line Be An Axial Line In Disguise? Alasdair Turner University College London, UK Could A Road-centre Line Be An Axial Line In Disguise? Alasdair Turner University College London, UK a.turner@ucl.ac.uk Abstract Axial analysis is one of the fundamentals of space syntax. Hillier has proposed

More information

The Rectangular Spiral Solution for the n 1 X n 2 X X n k Points Problem

The Rectangular Spiral Solution for the n 1 X n 2 X X n k Points Problem The Rectangular Spiral Solution for the n 1 X n 2 X X n k Points Problem Marco Ripà Economics Institutions and Finance, Roma Tre University, Rome, Italy. Email: marcokrt1984@yahoo.it Abstract. A generalization

More information

Geo-identification and pedestrian navigation with geo-mobile applications: how do users proceed?

Geo-identification and pedestrian navigation with geo-mobile applications: how do users proceed? TU Vienna presentation 17 th July 2008 Geo-identification and pedestrian navigation with geo-mobile applications: how do users proceed? Ioannis Delikostidis Corné van Elzakker INTERNATIONAL INSTITUTE FOR

More information

Connectedness. Proposition 2.2. The following are equivalent for a topological space (X, T ).

Connectedness. Proposition 2.2. The following are equivalent for a topological space (X, T ). Connectedness 1 Motivation Connectedness is the sort of topological property that students love. Its definition is intuitive and easy to understand, and it is a powerful tool in proofs of well-known results.

More information

On the teaching and learning of logic in mathematical contents. Kyeong Hah Roh Arizona State University

On the teaching and learning of logic in mathematical contents. Kyeong Hah Roh Arizona State University On the teaching and learning of logic in mathematical contents Kyeong Hah Roh Arizona State University khroh@asu.edu Students understanding of the formal definitions of limit teaching and learning of logic

More information

Relationships Between Quantities

Relationships Between Quantities Algebra 1 Relationships Between Quantities Relationships Between Quantities Everyone loves math until there are letters (known as variables) in problems!! Do students complain about reading when they come

More information

Using Space Syntax Analysis in Detecting Privacy: A Comparative Study of Traditional and Modern House Layouts in Erbil City, Iraq

Using Space Syntax Analysis in Detecting Privacy: A Comparative Study of Traditional and Modern House Layouts in Erbil City, Iraq Using Space Syntax Analysis in Detecting Privacy: A Comparative Study of Traditional and Modern House Layouts in Erbil City, Iraq Faris Ali Mustafa (Corresponding author) School of Housing, Building and

More information

From axial to road-centre lines: a new representation for space syntax and a new model of route choice for transport network analysis

From axial to road-centre lines: a new representation for space syntax and a new model of route choice for transport network analysis From axial to road-centre lines: a new representation for space syntax and a new model of route choice for transport network analysis Alasdair Turner Abstract Axial analysis is one of the fundamental components

More information

FORMULATION OF THE LEARNING PROBLEM

FORMULATION OF THE LEARNING PROBLEM FORMULTION OF THE LERNING PROBLEM MIM RGINSKY Now that we have seen an informal statement of the learning problem, as well as acquired some technical tools in the form of concentration inequalities, we

More information

Morphological Change of Dhaka City Over a Period of 55 Years: A Case Study of Two Wards

Morphological Change of Dhaka City Over a Period of 55 Years: A Case Study of Two Wards Journal of Bangladesh Institute of Planners ISSN 2075-9363 Vol. 2, December 2009, pp. 30-38, Bangladesh Institute of Planners Morphological Change of Dhaka City Over a Period of 55 Years: A Case Study

More information

Lab Exercise 03: Gauss Law

Lab Exercise 03: Gauss Law PHYS 2212 Lab Exercise 03: Gauss Law PRELIMINARY MATERIAL TO BE READ BEFORE LAB PERIOD Counting Field Lines: Electric Flux Recall that an electric field (or, for that matter, magnetic field) can be difficult

More information

Orbital Paths. the Solar System

Orbital Paths. the Solar System Purpose To compare the lengths of the terrestrial planets orbital paths and revolution times. Process Skills Measure, form a hypothesis, predict, observe, collect data, interpret data, communicate, draw

More information

Bridges in Mathematics & Number Corner Second Edition, Grade 2 State of Louisiana Standards Correlations

Bridges in Mathematics & Number Corner Second Edition, Grade 2 State of Louisiana Standards Correlations Bridges in Mathematics & Number Corner Second Edition, Grade 2 State of Louisiana Standards Correlations Grade 2 Overview Operations & Algebraic Thinking A. Represent and solve problems involving addition

More information

Keywords spatial configuration; spatial analysis; modeling; methodology; multi-layered space

Keywords spatial configuration; spatial analysis; modeling; methodology; multi-layered space Exploring Multi-layered Hyper Dense Urban Environments through Spatial Analysis Ref 062 Stephen Law Space Syntax, Consultant, London, United Kingdom s.law@spacesyntax.com Yunfei Zhao Edaw-UCL, Geographical

More information

RE-THINKING COVARIATION FROM A QUANTITATIVE PERSPECTIVE: SIMULTANEOUS CONTINUOUS VARIATION. Vanderbilt University

RE-THINKING COVARIATION FROM A QUANTITATIVE PERSPECTIVE: SIMULTANEOUS CONTINUOUS VARIATION. Vanderbilt University Saldanha, L., & Thompson, P. W. (1998). Re-thinking co-variation from a quantitative perspective: Simultaneous continuous variation. In S. B. Berenson & W. N. Coulombe (Eds.), Proceedings of the Annual

More information

IMPROVING THE USER EXPERIENCE OF THE LAWRENCE TRANSIT SYSTEM: A FOCUS ON MAP USABILITY AND ROUTE PLANNING. Eric Berkman

IMPROVING THE USER EXPERIENCE OF THE LAWRENCE TRANSIT SYSTEM: A FOCUS ON MAP USABILITY AND ROUTE PLANNING. Eric Berkman IMPROVING THE USER EXPERIENCE OF THE LAWRENCE TRANSIT SYSTEM: A FOCUS ON MAP USABILITY AND ROUTE PLANNING BY Eric Berkman Submitted to the graduate degree program in Design and the Graduate Faculty of

More information

Section 2.1: Introduction to the Logic of Quantified Statements

Section 2.1: Introduction to the Logic of Quantified Statements Section 2.1: Introduction to the Logic of Quantified Statements In the previous chapter, we studied a branch of logic called propositional logic or propositional calculus. Loosely speaking, propositional

More information

Confeego: Tool Set for Spatial Configuration Studies

Confeego: Tool Set for Spatial Configuration Studies 14 Confeego: Tool Set for Spatial Configuration Studies Jorge Gil, Chris Stutz and Alain Chiaradia Space Syntax Limited, London, UK Abstract. Confeego is a suite of tools to understand and harness the

More information

Big Idea 2: Fields existing in space can be used to explain interactions.

Big Idea 2: Fields existing in space can be used to explain interactions. Curriculum Framework Big Idea 2: Fields existing in space can be used to explain interactions. All of the fundamental forces, including the gravitational force and the electric and magnetic forces, are

More information

The city as a system

The city as a system AP SYSTEMS PLANNER 16 (2013) Anastássios Perdicoúlis Assistant Professor, ECT, UTAD (http://www.tasso.utad.pt) Affiliate Researcher, CITTA, FEUP (http://www.fe.up.pt/~tasso) Abstract Contrary to popular

More information

THE ROLE OF COMPUTER BASED TECHNOLOGY IN DEVELOPING UNDERSTANDING OF THE CONCEPT OF SAMPLING DISTRIBUTION

THE ROLE OF COMPUTER BASED TECHNOLOGY IN DEVELOPING UNDERSTANDING OF THE CONCEPT OF SAMPLING DISTRIBUTION THE ROLE OF COMPUTER BASED TECHNOLOGY IN DEVELOPING UNDERSTANDING OF THE CONCEPT OF SAMPLING DISTRIBUTION Kay Lipson Swinburne University of Technology Australia Traditionally, the concept of sampling

More information

2. A vertex in G is central if its greatest distance from any other vertex is as small as possible. This distance is the radius of G.

2. A vertex in G is central if its greatest distance from any other vertex is as small as possible. This distance is the radius of G. CME 305: Discrete Mathematics and Algorithms Instructor: Reza Zadeh (rezab@stanford.edu) HW#1 Due at the beginning of class Thursday 01/21/16 1. Prove that at least one of G and G is connected. Here, G

More information

Letting reality speak. How the Chicago School Sociology teaches scholars to speak with our findings.

Letting reality speak. How the Chicago School Sociology teaches scholars to speak with our findings. Letting reality speak. How the Chicago School Sociology teaches scholars to speak with our findings. By Nanke Verloo n.verloo@uva.nl Assistant professor in Urban Planning, University of Amsterdam. Think

More information

Local Cognitive Theory for Coordinate Systems. Components of Understanding:

Local Cognitive Theory for Coordinate Systems. Components of Understanding: Local Cognitive Theory for Coordinate Systems Components of Understanding: Student difficulties: Students do not naturally consider any basis beyond the natural (standard) basis. Students do not understand

More information

0. Introduction 1 0. INTRODUCTION

0. Introduction 1 0. INTRODUCTION 0. Introduction 1 0. INTRODUCTION In a very rough sketch we explain what algebraic geometry is about and what it can be used for. We stress the many correlations with other fields of research, such as

More information

Deep Algebra Projects: Algebra 1 / Algebra 2 Go with the Flow

Deep Algebra Projects: Algebra 1 / Algebra 2 Go with the Flow Deep Algebra Projects: Algebra 1 / Algebra 2 Go with the Flow Topics Solving systems of linear equations (numerically and algebraically) Dependent and independent systems of equations; free variables Mathematical

More information

UNIT 2 The Particulate Nature of Matter

UNIT 2 The Particulate Nature of Matter UNIT 2 The Particulate Nature of Matter Take a moment to think about all of the different properties which can be exhibited by matter. The list seems endless. Matter can be found in a variety of forms,

More information